We prove the equivalence of the well-posedness of a partial differential equation with delay and an associated abstract Cauchy problem. This is used to derive sufficient conditions for well-posedness, exponential stability and norm continuity of the solutions. Applications to a reaction-diffusion eq
β¦ LIBER β¦
Delay differential equations with Hill's type growth rate and linear harvesting
β Scribed by L. Berezansky; E. Braverman; L. Idels
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 723 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
β¦ Synopsis
For the equation,
we obtain the following results: boundednees of all positive solutions, extinction, and persistence conditions. The proofs employ recent results in the theory of linear delay equations with positive and negative coefficients.
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